58 citations · 255 across the 23 of their papers we have counts for
21 papers · 1 filter
Data-dependent approximation through RBF
José Kuruc, David Levin, Pep Mulet +2
In this article we present a modification of classical Radial Basis Function (RBF) interpolation techniques aimed at reducing oscillations near discontinuities in one and two dimen…
A Cell-Average Non-Separable Progressive Multivariate WENO Method for Image Processing Applications
Inmaculada Garcés, Pep Mulet, Juan Ruiz-Álvarez +2
Accurate and efficient reconstruction techniques are essential in multiresolution analysis and image compression, particularly when the data are represented as cell averages. In th…
Implicit-explicit all-speed schemes for compressible Cahn-Hilliard-Navier-Stokes equations
Andreu Martorell, Pep Mulet, Dionisio F. Yáñez
We propose a second-order implicit-explicit (IMEX) time-stepping scheme for the isentropic, compressible Cahn-Hilliard-Navier-Stokes equations in the low Mach number regime. The me…
Implicit-explicit schemes for compressible Cahn-Hilliard-Navier-Stokes equations on staggered grids
Andreu Martorell, Pep Mulet, Dionisio F. Yáñez
We propose a second-order implicit-explicit (IMEX) time-stepping scheme for the isentropic, compressible Cahn-Hilliard-Navier-Stokes equations discretized on staggered (MAC) grids.…
Invariant-region-preserving WENO schemes for one-dimensional multispecies kinematic flow models
Juan Barajas-Calonge, Raimund Bürger, Pep Mulet +1
Multispecies kinematic flow models are defined by systems of N strongly coupled, nonlinear first-order conservation laws, where the solution is a vector of N partial volume fractio…
High Order in Space and Time Schemes Through an Approximate Lax-Wendroff Procedure
Antonio Baeza, Pep Mulet, David Zorío
This paper deals with the scheme proposed by the authors in Zorío, Baeza and Mulet (J Sci Comput 71(1):246-273, 2017). This scheme is an alternative to the techniques proposed in Q…
High Order Extrapolation Techniques for WENO Finite-Difference Schemes Applied to NACA Airfoil Profiles
Antonio Baeza, Pep Mulet, David Zorío
Finite-difference WENO schemes are capable of approximating accurately and efficiently weak solutions of hyperbolic conservation laws. In this context high order numerical boundary…
Approximate Taylor methods for ODEs
Antonio Baeza, Sebastiano Boscarino, Pep Mulet +2
A new method for the numerical solution of ODEs is presented. This approach is based on an approximate formulation of the Taylor methods that has a much easier implementation than…
An Approximate Lax-Wendroff-Type Procedure for High Order Accurate Schemes for Hyperbolic Conservation Laws
David Zorío, Antonio Baeza, Pep Mulet
A high order time stepping applied to spatial discretizations provided by the method of lines for hyperbolic conservations laws is presented. This procedure is related to the one p…
High Order Weighted Extrapolation for Boundary Conditions for Finite Difference Methods on Complex Domains with Cartesian Meshes
Antonio Baeza, Pep Mulet, David Zorío
The design of numerical boundary conditions is a challenging problem that has been tackled in different ways depending on the nature of the problem and the numerical scheme used to…
High Order Boundary Extrapolation Technique for Finite Difference Methods on Complex Domains with Cartesian Meshes
Antonio Baeza, Pep Mulet, David Zorío
The application of suitable numerical boundary conditions for hyperbolic conservation laws on domains with complex geometry has become a problem with certain difficulty that has be…
Efficient WENO schemes for nonuniform grids
M. C. Martí, P. Mulet, D. F. Yáñez +1
A set of arbitrarily high-order WENO schemes for reconstructions on nonuniform grids is presented. These non-linear interpolation methods use simple smoothness indicators with a li…
A non-separable progressive multivariate WENO- point value
Pep Mulet, Juan Ruiz-Alvarez, Chi-Wang Shu +1
The weighted essentially non-oscillatory {technique} using a stencil of points (WENO-) is an interpolatory method that consists in obtaining a higher approximation order f…
Implicit-explicit schemes for compressible Cahn-Hilliard-Navier-Stokes equations
Pep Mulet
The isentropic compressible Cahn-Hilliard-Navier-Stokes equations is a system of fourth-order partial differential equations that model the evolution of some binary fluids under co…
An efficient third-order WENO scheme with unconditionally optimal accuracy
Antonio Baeza, Raimund Bürger, Pep Mulet +1
A novel scheme, based on third-order Weighted Essentially Non-Oscillatory (WENO) reconstructions, is presented. It attains unconditionally optimal accuracy when the data is smooth…
WENO reconstructions of unconditionally optimal high order
Antonio Baeza, Raimund Bürger, Pep Mulet +1
A modified Weighted Essentially Non-Oscillatory (WENO) reconstruction technique preventing accuracy loss near critical points (regardless of their order) of the underlying data is…
On the efficient computation of smoothness indicators for a class of WENO reconstructions
Antonio Baeza, Raimund Bürger, Pep Mulet +1
Common smoothness indicators used in Weighted Essentially Non\--Os\-cil\-la\-to\-ry (WENO) reconstructions [Jiang, G.S., Shu, C.W.: Efficient implementation of {Weighted} {ENO} sch…
Central WENO schemes through a global average weight
Antonio Baeza, Raimund Bürger, Pep Mulet +1
A novel central weighted essentially non-oscillatory (central WENO; CWENO)-type scheme for the construction of high-resolution approximations to discontinuous solutions to hyperbol…
On approximate implicit Taylor methods for ordinary differential equations
Antonio Baeza, Raimund Bürger, María del Carmen Martí +2
An efficient approximate version of implicit Taylor methods for initial-value problems of systems of ordinary differential equations (ODEs) is introduced. The approach, based on an…
On the stability of Approximate Taylor methods for ODE and their relationship with Runge-Kutta schemes
Antonio Baeza, Sebastiano Boscarino, Pep Mulet +2
In [Baeza et al., Computers and Fluids, 159, 156--166 (2017)] a new method for the numerical solution of ODEs is presented. This methods can be regarded as an approximate formulati…
The maximal order of semidiscrete schemes for quasilinear first order partial differential equations
A. Baeza, P. Mulet, D. Zorío
We prove that a semidiscrete -point scheme for quasilinear first order PDE cannot attain an order higher than . Moreover, if the forward Euler fully discrete scheme obt…